6 f"(x) A 3 2 2 -2 X. 2 (3,-1) -2 Graph of f 1. A function f has derivatives of all orders for all real numbers x. A portion of the graph of f is shown above, along with the line tangent to the graph of f at x = 6. Selected derivatives of f are given in the table above. (a) Let g(x) = /3 f(21) di. Write the fourth-degree Taylor polynomial for g about x = 3. (b) Find the x-coordinate of each critical point of g on the interval -2.5